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| 1 | Join |
| See: join (SQL) - relational database keyword For the Unix utility, see Join (Unix utility). For the join in a lattice, see Join (lattice theory ... | |
| 2 | Distributive lattice |
| -empty finite joins. It is a basic fact of lattice theory that the above condition is equivalent to its... In mathematics, distributive lattices are lattices for which the operations of join and meet... consider a distributive lattice L either as a structure of order theory or of universal algebra. Both ... | |
| 3 | Lattice gauge theory |
| Lattice gauge theory is a method to deal with gauge theory that is useful for computer-assisted calculations. In lattice gauge theory, the spacetime is discretized and replaced by a lattice with... action. Lattice gauge theory is a particularly important tool for quantum chromodynamics (QCD). The ... | |
| 4 | Complemented lattice |
| In the mathematical discipline of order theory, and in particular, in lattice theory, a complemented lattice is a bounded lattice in which each element x has a complement , defined as a unique element ~ x such that and A Boolean algebra may be defined as a complemented distributive lattice ... | |
| 5 | Distributivity (order theory) |
| for lattices, where the formation of binary suprema and infima provide the total operations of join... meet-semilattice L is distributive as a join-semilattice L is a distributive lattice. Thus any distributive meet-semilattice in which binary joins exist is a distributive lattice. Using this insight ... | |
| 6 | Lattice (order) |
| ( join ) and an infimum ( meet ). On the other hand, lattices can also be characterized as algebraic... from depicting these orders. This article treats the most basic definitions of lattice theory... join-semilattice. It will be stated explicitly whenever a lattice is required to have a least or ... | |
| 7 | Reciprocal lattice |
| In crystallography, the reciprocal lattice of a Bravais lattice is the set of all vectors K such that for all lattice point position vectors R . The reciprocal lattice is itself a Bravais lattice, and the reciprocal of the reciprocal lattice is the original lattice. For a three dimension ... | |
| 8 | List of order topics |
| ) Distributivity (order theory) modular lattice distributive lattice completely distributive lattice... theory can be found in the order theory glossary. See also inequality, extreme value, optimization (mathematics), domain theory. Basic concepts Partially ordered set Preorder Totally ordered set ... | |
| 9 | Noncrossing partition |
| partitions, it is not a sublattice of the lattice of all partitions, because the join operations do... free probability theory The lattice of noncrossing partitions plays the same role in defining "free cumulants" in free probability theory that is played by the lattice of all partitions in defining ... | |
| 10 | Bottom |
| Bottom can refer to: buttocks Bottom (BDSM) Nick Bottom, a character from Shakespeare's A Midsummer Night's Dream Bottom , a British sitcom - see Bottom (television) In lattice theory and related branches of mathematics, see Bottom element ... | |
| 11 | Lattice model |
| a crystal automatically form a lattice and this is one application of lattice theory. See Ising... cutoff to the theory to prevent divergences or to perform numerical computations. See QCD lattice models... are really dealing with a lattice theory because computers only work with discrete data. In finance ... | |
| 12 | Phonon |
| A phonon is a quantized mode of vibration occurring in a rigid crystal lattice, such as the atomic lattice of a solid. The study of phonons is an important part of solid state physics, because they... ). According to a well-known result in classical mechanics, any vibration of a lattice can be ... | |
| 13 | Semilattice |
| basic "lattice-like" structures, they can be characterized both in terms of order theory and of..., any lattice is also an example of both a join- and a meet-semilatice. Any Scott domain is a meet-semilattice. The compact elements of an algebraic lattice under the induced order constitute a join ... | |
| 14 | Compact element |
| complete lattice (possibly lacking a least element) -- see completeness (order theory) for details. If... In the mathematical area of order theory, the compact or finite elements of a partially ordered... order theoretic notion of finite elements either. Compact elements are important in domain theory ... | |
| 15 | Ideal (order theory) |
| in order and lattice theory. Basic definitions A non-empty subset I of a partially ordered set ( P... concepts of order theory. See the introductory books given for order theory and lattice theory, and... In mathematical order theory, an ideal is a special subset of a partially ordered set. Although ... |